Inner product and outer product of vectors

Inner product

Click to multiply " · "

Two vector modulo * angle cosine value

Represents the projection relationship of two vectors in space

Outer product

Fork by " x "

Two vector modulo * angle sine value

rotation relation of two vectors in space-rotation vector

the spanned of the four -sided direction area of the two vectors-the sine of the angle takes the high of the parallelogram

The outer product also introduces the anti-calling symbol "^", which turns the outer product into a linear operation, a matrix and a vector multiplication.

The outer product is defined only for three-dimensional vectors.

rotation vector: under the right hand law, we use the right hand of four fingers from vector a to vector B, the thumb is the direction of the rotation vector

The size is determined by the angle between vector a and vector b ,